Adjoint type vanishing theorems on pseudoconvex manifolds

DOI10.1016/j.difgeo.2018.06.002zbMath1454.32014OpenAlexW2808453102WikidataQ115355093 ScholiaQ115355093MaRDI QIDQ1654202

Chunle Huang

Publication date: 7 August 2018

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2018.06.002

Mathematics Subject Classification ID

Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Holomorphic bundles and generalizations (32L05)

Cites Work

• Unnamed Item
• Effective vanishing theorems for ample and globally generated vector bundles
• Vanishing theorems for tensor powers of an ample vector bundle
• A generalization of vanishing theorems for weakly 1-complete manifolds
• A vanishing theorem for \(H^ p(\)X, \(Omega^ q(\)B)) on weakly 1-complete manifolds
• Annulation de la cohomologie à valeurs dans un fibre vectoriel holomorphe positif de rang quelconque
• Vanishing theorems for ample vector bundles
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Positivity and vanishing theorems for ample vector bundles

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